explain how a table cn be used to find the rate of change?
I have attached a picture of a question I am stuck on. It is about Riemann sums. I have attempted the question but did not get the correct answer :( Here is my work:
I see that this graph has the same area repeating 12 times.
I did (b - a)/n, or (12 - 0)/36, and found that the width of each rectangle should be 1/3. Because we are asked to find the area using "circumscribed angles," I will use right-endpoint rectangles on the first part of the graph that shows a decreasing interval from 0 to 1:
t = 1/3, r(t) = 2.01745506
t = 2/3, r(t) = 2
t = 1, r(t) = 1.45369751
These values for r(t) represent heights of the rectangles. I can add them and multiply by the width of each rectangle:
1/3(2.01745506 + 2 + 1.45369751) = 1/3(5.47115257) = 1.823717523
I can multiply the area by 12 to find the area under the entire function:
1.823717523 * 12 = 21.88461028
This is not an answer choice, so I clearly did something wrong! Can someone help me find my mistake?
Name the property the equation illustrates.
A) Commutative Property of Addition
B) Inverse Property of Multiplication
C) Commutative Property of Multiplication
D) Associative Property of Addition
Suppose the ages of cars driven by employees at a company are normally distributed with a mean of 8 years and a standard deviation of 3.2 years. What is the z score of a car that is 6 years old?
Answer:
-0.625 is right
Step-by-step explanation:
:3 i did the test
Divide 9x^2-21x-20 by x-1
Which set of points correctly demonstrates a pre-image that has been is reflected over x = -1? A(0,-1) and A'(4,-1) A(0,-5) and A'(0,3) A(-5,0) and A'(3,0) A(0,-4) and A'(0,4)
The correct set of points that demonstrate a pre-image that has been reflected over x = -1 is A(0,-1) and A'(−2,−1).
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
To reflect a point over the line x = -1, we simply need to flip the x-coordinate of the point across the line. In other words, if a point has coordinates (x,y), its image after reflection over x = -1 will have coordinates (-x,y).
Using this rule, we can check each of the given options:
A(0,-1) and A'(4,-1): The reflection of A(0,-1) over x = -1 should have an x-coordinate of -0, which means it should be the same as the original point. A'(4,-1) does not fit this requirement, so this is not the correct set of points.A(0,-5) and A'(0,3): The reflection of A(0,-5) over x = -1 should have an x-coordinate of -0, which means it should be the same as the original point. A'(0,3) does not fit this requirement, so this is not the correct set of points.A(-5,0) and A'(3,0): The reflection of A(-5,0) over x = -1 should have an x-coordinate of 5, which means it should be (-5,0). A'(3,0) does not fit this requirement, so this is not the correct set of points.A(0,-4) and A'(0,4): The reflection of A(0,-4) over x = -1 should have an x-coordinate of -0, which means it should be the same as the original point. A'(0,4) does not fit this requirement, so this is not the correct set of points.Therefore, the correct set of points is A(0,-1) and A'(−2,−1).
Learn more about coordinates here:
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4.5x-7=20 i need help whats the answer
230 is equal to _____.
solution:
230 degree is 50 degrees past 180 degrees into the third quadrant where both sin and cos are negative.
PLEASE HELP!!!! NEED NOW!!! 20 pts
Explain how the Quotient of Powers was used to simplify this expression.
2 to the 5th power, over 8 = 2 to the 2nd power
By finding the quotient of the bases to be one fourth, and cancelling common factors
By finding the quotient of the bases to be one fourth, and simplifying the expression
By simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents
By simplifying 8 to 2^3 to make both powers base two, and adding the exponents
The vertices of triangle jkl are j(-2,1), k(2,-3), and l(2 2). The triangle is reflected over the line y=x. Graph triangle jkl and triangle j’k’l’.
1. SCHOOL PLAY Marika and her three friends attended the school play. Tickets cost $5.75 each, and Marika paid for everyone. Find the totał cost of the tickets. Justify your answer by using the Distributive Property
HELP FAST PLEASE!!!
A telephone pole that is 14 ft. tall has fallen against a house. If the top of the telephone pole touches the house 8 ft. above the ground, what is the angle that the telephone pole makes with the ground?
29.7 degrees
55.2 degrees
60.3 degrees
34.8 degrees
From the given information , we can make a rough figure as shown in attachment.
Now in the given triangle we can use following formula of sin to get the angle,
[tex] sin x = \frac{Perpendicular}{opposite} [/tex]
We can see from the figure that:
perpendicular = 8 and opposite =14.
Plugging the given values in the formula for sin x,
[tex] sin x = \frac{8}{14} [/tex]
sin x = 0.5714
to find x we have to find sin inverse of 0.5714 ,
x = sin⁻¹(0.5714)
x=34.8 degrees.
Answer : the angle that the telephone pole makes with the ground is 34.8 degrees. option D
Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression? (3 – 7x)(x2 – 3) (7x – 3)(3 + x2) (3 – 7x2)(x – 3) (7x2 – 3)(3 + x)
This figure is made up of a quadrilateral and a semicircle.
What is the area of this figure?
Use 3.14 for pi. Round your final answer to the nearest tenth.
15.7 units²
17.9 units²
25.7 units²
31.4 units²
Answer:
Option B. 17.9 units²
Step-by-step explanation:
This figure consist of two figures
1). One quadrilateral
2). One semicircle
Now to get the area of total figure
= Area of triangle + area of semicircle
1). Area of quadrilateral = length × width
= √(3-1)²+(1-2)² × √(3-1)²+(1+3)² = √(4 + 1) ×√(4 + 16) = √5×2√5 = 10
2) Area of semicircle = (1/2)πr²
Radius of the circle = (1/2)√(3-1)²+(1+3)² = (1/2)√(4 + 16) = (1/2)(√20)
r = √5
Area of semicircle = (1/2).(π).(√5)² = (1/2).(3.14)(5) = 7.85
Area of the total figure = 10 + 7.85 = 17.85 ≈ 17.9 units²
Option B is the correct answer.
Which is more 3 liters or 2997 millilliters
A tiger in captivity is fed 13.5 pounds of food an elephant in captivity eats per day. Compare the function by comparing their rates of change.
Please if some one can help help ! Thank you !!
What is the area of a sector with a central angle of 3π5 radians and a diameter of 21.2 cm?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
cm²
The table lists the test scores William and Andre received on five math assessments William's scores 89 97 78 81 91 Andre's score 90 74 73 87 82
Which statement best describes the difference of the mean of the two sets?
A)It is equal to about 0.5 times the mean absolute deviation of either data set. B)It is equal to about 1 times the mean absolute deviation of either data set. C)It is equal to about 1.5 times the mean absolute deviation of either data set. D)It is equal to about 2 times the mean absolute deviation of either data set.
Write the expression as a product of polynomials:
a(p–q)+q–p
p^2q+r^2–pqr–pr
PLZ ANSWER ASAP
1. a(p–q)+q–p
We take out common factor
To change q - p as p - q we pull out -1
So q - p becomes -1(p - q)
a(p–q)+q–p
a(p–q) -1(p - q)
p -q is in common so we factor out p-q
(p - q) (a - 1)
2. p^2q+r^2–pqr–pr
WE change the order of terms
[tex] p^2q-pqr+r^2-pr [/tex]
We group first two terms and last two terms
[tex] (p^2q-pqr)+(r^2-pr) [/tex]
Now we factor out pq from first group and -r from second group
[tex] pq(p-r) - r(p - r) [/tex]
[tex] (p - r) (pq - r) [/tex]
To write the answer as a product of polynomials we try to factor the polynomial
a(p–q)+q–p
we can write this expression as
a(p-q)+(q-p)
from second parenthesis we can factor out -1 , so we get
a(p-q) -1(p-q)
Now it has two terms a(p-q) and -1(p-q) , from these two terms we can factor out (p-q)
So we get it
(p-q)(a-1)
So we get the polynomial as a product of two polynomials.
Second
[tex] p^2q+r^2- pqr-pr [/tex]
we can rewrite the expression as
[tex] (p^2q- pqr)+(r^2-pr) [/tex]
Now try to factor the groups
factor out "pq" as GCF from first group and "-r" as GCF from second group
[tex] pq(p- r)-r(p-r) [/tex]
Now we can factor it out for final step
[tex] (p- r)(pq-r) [/tex]
Jack and Jane are married and both work. However, due to their responsibilities at home, they have decided that they do not want to work over 65 hours per week combined. Jane is paid $12.50 per hour at her job, and Jack is paid $10 per hour at his. Neither of them are paid extra for overtime, but they are allowed to determine the number of hours per week that they wish to work. If they need to make a minimum of $750 per week before taxes, what is the maximum amount of hours that Jack can work per week according to these limits?
Answer:
20
Step-by-step explanation:
just did it on study island
Identify the vertical asymptote(s) of each function. Check all of the boxes that apply. f(x)=x-8/x^2-3x+2
x = -8
x = -2
x = -1
x = 1
x = 2
x = 8
Nevermind the answer was x=1 and x=2. If anyone is wondering how to do it you can put the denominator in desmos and where the 2 points hit the x axis is your answer.
Answer:
x=1 and x=2
Step-by-step explanation:
Choose the correct simplification of the expression a to the 7th power times b to the 8th power all over a to the 4th power times b to the 4th power
Multiply and simplify if possible.
√5x(√x - 5 √5)
Hannah is saving money for a car. She earns $160 each week working part time after school and on the weekends at Papa's Pizza. Hannah currently has $1,280 in savings. Her parents put $50 in her savings account each week and she saves one-half of her paycheck each week. Which expression represents the situation? (n represents the number of weeks)
Answer:
The answer is A because
Step-by-step explanation:
1,280 in savings
160n
2
Hannah saves each week
50n parents put in savings each week
thus,
1,280 + 160n/2+ 50n
1,280 + 80n + 50n
1280 + 130n
You really have to think this one through all the way. All the other answer choices are steps in finding the answer
Match the statements
1. m<2 = 122° and m<3 = 58°
If corresponding angles are equal, then lines are parallel.
2. 3 and 5 are supplementary angles
Exterior Sides in Opposite Rays
3. m<3 + m<5 = 180°
Given
4. 58° + m<5 = 180°
Second Substitution
5. m<5 = 122°
Definition of Supplementary Angles
6. m<2 = m5
First Substitution
7. l || m
Subtraction Property of Equality
1. m<2 = 122° and m<3 = 58° - C. Given
2. 3 and 5 are supplementary angles - E. Definition of Supplementary Angles
3. m<3 + m<5 = 180° - D. Second Substitution
4. 58° + m<5 = 180° - F. First Substitution
5. m<5 = 122° - G. Subtraction Property of Equality
6. m<2 = m5 - A. If corresponding angles are equal, then lines are parallel
7. l || m - B. Exterior Sides in Opposite Rays
The given geometry statements are matched with appropriate geometric principles, such as the definition of supplementary angles, substitution properties, and theorems related to parallel lines and angles.
To match the statements given with the correct reasons, we need to analyze the relationships between angles and understand the geometric principles involved.
Here are the matches:
1. m<2 = 122° and m<3 = 58° - C. Given
2. 3 and 5 are supplementary angles - E. Definition of Supplementary Angles
3. m<3 + m<5 = 180° - D. Second Substitution
4. 58° + m<5 = 180° - F. First Substitution
5. m<5 = 122° - G. Subtraction Property of Equality
6. m<2 = m5 - A. If corresponding angles are equal, then lines are parallel
7. l || m - B. Exterior Sides in Opposite Rays
The probable question may be:
Match the statements
1. m<2 = 122° and m<3 = 58°
2. 3 and 5 are supplementary angles
3. m<3 + m<5 = 180°
4. 58° + m<5 = 180°
5. m<5 = 122°
6. m<2 = m5
7. l || m
A. If corresponding angles are equal, then lines are parallel.
B. Exterior Sides in Opposite Rays
C. Given
D. Second Substitution
E. Definition of Supplementary Angles
F. First Substitution
G. Subtraction Property of Equality
Suppose you travel at 60 mph for 222 miles. How many hours will it take you to reach your destination?
A.) 4.3 hours
B.) 4.5 hours
C.) 3.7 hours
D.) 1.05 hours
Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Ishaan now?
One liter is approximately 1.06 quarts. Write a direct variation equation that relates x liters to y quarts. what is an equation
Choose as many answers as apply. Which of the following are sources of income? salary deductions part-time work odd jobs wishful thinking
Answer:
salary . part time work . odd jobs.
Step-by-step explanation: